Alright. This is it. My last post. I'm clearing this all up now and I'm not going to respond again due to the point of there then being no point. I am going to provide images from the film (in it's original Japanese subtitle format) to prove my points. Here we go:
SSJ doesn't use up or drain energy once its been perfected. That's what Goku and Gohan did during their Rosat (Room of Spirit and Time) training. They mastered their SSJ to the point it doesn't drain energy or make them feel restless and agitagted anymore. Goku really doesn't need to use SSJ anymore, even if he does he's not wasting any energy either. The SSJ forms multipliers are pretty finished thanks to what SSJG did to Goku's being. SSJ really is just a dye job and no it doesn't burn any energy, stop saying that.
-No, Goku and Gohan trained to make the form more natural. To use /less/ energy on the transformation. It still uses energy. There's still a burn. It's just negligible. Doesn't burn near as badly. There's also still a 50x power-up, which you alleged there wasn't. Also why he went from just being able to make Beerus sting to actually keeping up with him.
To go more in-depth with what /exactly/ Goku and Gohan did with their SSJ forms: According to the old Daizex site, all they did was basically force their bodies to become adjusted to it to minimize strain, ALMOST as if it were a natural state. Also reduces energy consumption during battle. But it still burns it. And still gives a boost as well. Otherwise there'd be no point in taking it.
Allow me to explain my stance. Beerus himself pointed out to Goku that after he absorbed SSJG, his power didn't decrease much from it which is why he was able to still fight at SSJG level without actually be SSJG itself. Whatever difference there is between base, ssj, and SSJG now is small, for all intents and purposes all three of his forms are in the same ballpark with each other.
-I think I know what the problem is now. I believe I may see where your confusion lies. Have you only seen the Dub? I'm not judging you or anything; I loved the dub of the film. However, there were certain scenes, the one in question with Beerus, that were..."shortened" and not explained as well as the Japanese subtitle. Allow me to show you:
He clearly says, "That's why when you transformed back, your powers didn't decrease drastically." This is what I've been trying to tell you. His powers did decrease and were decreasing, and that /was/ something that was visible, which I will get to shortly.
Base Goku didn't get his ass handed to him by Beerus, you are over exaggerating. If you notice base, ssj, and ssjg Goku all struggle to keep up with Beerus once he gets serious (70%), all three different forms also endure, tank, and recover about the same with no difference despite Beerus going HAM on all three different falls all the same. Goku doesn't kick Beerus ass around the sky either, you are over exaggerating again. SSJ Goku has a breath skirish and lands a few hits on Beerus that doesn't do any serious or significant damage to him anymore than he did in his base form. Beerus is even shown taunting Goku in the stratosphere to which SSJ Goku starts using IT multiple times to confuse beerus before firing off a huge Kamehameha that literally does nothing to Beerus. So much for SSJ Goku kicking Beerus ass, lol.
-Exhibit A:
I said Goku got his ass handed to him by Beerus "via hand-to-hand combat", as you can clearly see from the picture above. Which is when you see Goku resorting to sneak attacks with the aid of Instant Transmission.
Exhibit B:
As we can now see, Goku as a Super Saiyan is not only able to get in a good few hits,
but is able to completely keep up with Beerus, despite his lackadaisical fighting style. Beerus at 70% of his power was indeed getting tossed around the sky. There were a total of 4 hits that sent Beerus flying around: 1 punch to the mouth, a kick to the back, a punch to the face, and then a knee to the stomach, and then they continued fighting blow-for-blow all the way into space. (I've seen the film...yeesh. 5 times in Jap (6 times if you count director's cut), 5 times when it came to theaters here, and then about another 5 times since Blu-ray release. I've got these fight scenes just-about memorized, lol).
Again, misunderstanding scenes again, we have no idea what SSJG did to Beerus giant ki ball. All we know is that he stopped it somehow? This doesn't mean SSJG is considerably stronger than SSJ or base. Remember, Beerus said he didn't power down much when he lost SSJG. That means his base and SSJ form are not that far apart from SSJG. Rememeber, Toriyama said if Beerus is a 7 (which would be 70% his full power) base/SSJ Goku is an 6 (Which would be 60% of Beerus full' power) in comparison to him. That means SSJG Goku falls between 60% and 70% of Beerus meaning he's not that much different from base/SSJ Goku in power level which is what was stated in the movie.
-"Beerus said he didn't power down much when he lost SSJG." As I pointed out earlier in this, as you can clearly see via the Japanese dub, the reason he didn't power down much was because, not only was he powering down /slowly/ already, but the boost he got from going Super Saiyan (which, yes, again, there /is/ still the multiplier involved, that doesn't just go away because you say it does), made him still able to maintain most of the immense God Form power. Essentially he was losing power via God Form loss, and yet gaining power via the SSJ transformation... Basically they're cancelling each other out, keeping his fight power roughly around the God Form power for a bit.
This is pretty simple and I have zero idea why you are having such a difficult time trying to comprehend this.
-Because, no offense, it's a load of crap. You act like it's so obvious, but... It isn't. And there's literally no proof ANYWHERE stating that Goku, in Base Form now, is equal to that of his Super Saiyan form, and that him going Super Saiyan in the movie AT ALL was useless and didn't change his power level at all. No. No, that's BS. Complete and utter BS that I refuse to believe. Not only that, it's VISIBLY untrue. Goku as a Super Saiyan fairs far better than he did when he was in Base. You're seriously trying to tell me that Goku going Super Saiyan changed nothing from his battle power? Really? That they just through it in there just because? No. Not only do I say "No, that's BS.", I'm also going to say "No, there's nothing proving or even INSINUATING that." As a movie, they wouldn't do something like that and then just not explain that him going Super Saiyan did nothing. No, it did do something. He was definitely visibly more powerful and visibly did more than he did in Base. /THIS/ is something that I'm finding hard for YOU to believe. Yeesh. I believe you're trying to turn this into something FAR more complicated than it is.
She/Her 
you know what I don't think anythings wrong with Vegeta I think Goku is to lanky actually. His legs especially.
